Notes on quasi-Frobenius rings

DOI10.1515/gmj-2019-2063zbMath1473.16011OpenAlexW2989989426MaRDI QIDQ1983504

Zhanmin Zhu

Publication date: 10 September 2021

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2019-2063

zbMATH Keywords

quasi-Frobenius ring2-injective ringJohns ringstrongly Johns ringYJ-injective ring

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Quasi-Frobenius rings (16L60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Cites Work

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• Some remarks on quasi-Frobenius rings.
• Mininjective rings
• A characterization of QF-3 rings
• Principally injective rings
• ON (m, n)-INJECTIVITY OF MODULES
• Continuous Rings with Acc on Essentials are Artinian
• Rings with the principal extension property
• On general principally injective rings
• The Structure of Johns Rings
• Annihilators and the CS-condition
• On simple GP - injective modules
• GP-Injective Rings Need Not be P-Injective
• New Characterizations of Quasi-Frobenius Rings
• Coherent Rings and Fp -Injective Modules

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